To find the area of the composite shape you've described, let's break down the shape based on the given measurements.
- The top horizontal line is 4 miles.
- There is a vertical line dropping down from this line measuring 2 miles.
- The next horizontal line, also measuring 2 miles, extends to the right from the bottom of the vertical line.
- A vertical line then drops down from the end of this 2-mile horizontal line (right side of the shape) and continues down to create the right edge of the shape, ending at the same vertical level as the base line, which is also 2 miles.
- At the bottom, there is another horizontal line that measures 2 miles that meets the left vertical edge.
Now, let’s analyze the shape based on these measurements.
Area Calculation:
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The top rectangle has a width of 4 miles and a height of 2 miles.
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Area of top rectangle = width × height = 4 miles × 2 miles = 8 square miles.
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The left rectangle that is formed underneath the top rectangle (which we can consider separately) has a width of 2 miles and a height of 2 miles.
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Area of left rectangle = width × height = 2 miles × 2 miles = 4 square miles.
Finally, we combine the areas of both sections:
- Total Area = Area of top rectangle + Area of left rectangle = 8 square miles + 4 square miles = 12 square miles.
Given your statement that the answer is not 12, please double-check the dimensions or if there are any modifications needed, but based on the dimensions provided, the area should sum up to 12 square miles. If there are further details about the shape or measurements that have not been clarified, please share those for a more accurate assessment.
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